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Simplifying -2q + 1 = 7 + q Reorder the terms: 1 + -2q = 7 + q Solving 1 + -2q = 7 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 1 + -2q + -1q = 7 + q + -1q Combine like terms: -2q + -1q = -3q 1 + -3q = 7 + q + -1q Combine like terms: q + -1q = 0 1 + -3q = 7 + 0 1 + -3q = 7 Add '-1' to each side of the equation. 1 + -1 + -3q = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -3q = 7 + -1 -3q = 7 + -1 Combine like terms: 7 + -1 = 6 -3q = 6 Divide each side by '-3'. q = -2 Simplifying q = -2
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